So unless your father endowed the school or was its first headmaster, don't take a chance. Seek and pay for the expert advice you need.
The truth is that admission is more than test scores and a faultless transcript. The school wants to get to know you as much as possible. Who are you? What subjects do you like? What sports do you enjoy? What is your favorite pastime? Behind all those recommendations and test scores is a real person with dreams, aspirations and hopes. A private school wants to encourage you and help you be all you can be.
The admissions staff are not looking for geniuses or stars. If you have good math grades and think that you might like to explore math in depth, a private school can make that happen. Maybe you want to play hockey on a really good team. Again, the right private school can make that happen. But you will not find the right school for you unless you open up and lay all your dreams and aspirations on the table. Once you do that, the admissions staff can begin to explore all the possibilities with you.
One of the great things about private schools is that they encourage excellence and a well-rounded person. You don't have to be afraid of what others will think if your passion is solving
Here is an example of what I am talking about. This excellent video presents Shattuck-St. Mary's School in Faribault, Minnesota and its fine campus and programs in the best light possible. But you still need to visit the school and truly experience all it has to offer.